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  • 1
    Publication Date: 2018-10-27
    Description: In statistically stationary conditions, the turbulent energy spectrum in a high Reynolds number flow exhibits a k −5/3 (Kolmogorov) regime, with a faster decay at larger, dissipative wavenumbers. Here, we investigate how the energy spectrum of a turbulent flow evolves in time when turbulence decays freely, in the absence of forcing. Results from direct numerical simulation of decaying turbulence in a periodic box with several different initial conditions suggest a generalized self-similar spectrum, depending on ##IMG## [http://ej.iop.org/images/1367-2630/20/10/103035/njpaae72dieqn1.gif] {${k}_{s}=k\times \eta (t)$} and ##IMG## [http://ej.iop.org/images/1367-2630/20/10/103035/njpaae72dieqn2.gif] {${k}_{l}=k\times L(t)$} , where η ( t ) and L ( t ) are, respectively, the small (Kolmogorov) and large scales of the flow. A closure method allows us to obtain an explicit form of the spectrum, which repr...
    Electronic ISSN: 1367-2630
    Topics: Physics
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  • 2
    Publication Date: 2017-12-14
    Description: Phoresis, the drift of particles induced by scalar gradients in a flow, can result in an effective compressibility, bringing together or repelling particles from each other. Here, we ask whether this effect can affect the transport of particles in a turbulent flow. To this end, we study how the dispersion of a cloud of phoretic particles is modified when injected in the flow, together with a blob of scalar, whose effect is to transiently bring particles together, or push them away from the center of the blob. The resulting phoretic effect can be quantified by a single dimensionless number. Phenomenological considerations lead to simple predictions for the mean separation between particles, which are consistent with results of direct numerical simulations. Using the numerical results presented here, as well as those from previous studies, we discuss quantitatively the experimental consequences of this work and the possible impact of such phoretic mechanisms in natural systems.
    Electronic ISSN: 1367-2630
    Topics: Physics
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